Question

Which set of steps will translate f(x) = 6x to g(x) = 6x – 5 – 7?

Shift f(x) = 6x five units to the left and seven units up.
Shift f(x) = 6x five units to the right and seven units down.
Shift f(x) = 6x seven units to the right and five units up.
Shift f(x) = 6x seven units to the left and five units down.

Answer 1

Option # B

Explanation:

(Taking quiz right now)

Answer 2

Shift
`f(x)=6^x` 5 units to the right and 7 units down.

Option B is correct.

Explanation:

Given:
`f(x)=6^x` translate to
`g(x)=6^(x-5)-7`

Using translation property

If
`x\rightarrow x+a` then function shift horizontally.

If a>0 then shift left

If a<0 then shift right

If
`f(x)\rightarrow f(x)+a` then function shift vertically.

If a>0 then shift up

If a<0 then shift down

`f(x)=6^x`

`g(x)=6^(x-5)`

f(x) shift 5 unit right.

`g(x)=6^(x-5)-7`

f(x) shift 7 unit down.

Hence, {tex]f(x)=6^{x}[/tex] translate to
`g(x)=6^(x-5)-7`

Shift
`f(x)=6^x` 5 units to the right and 7 units down.